On θ-commutators and the corresponding non-commuting graphs

descriptionPublicationkeyboard_double_arrow_right Article 29 Dec 2017Publisher:Walter de Gruyter GmbHJournal:Open Mathematics, volume 15, pages 1,530-1,538 (eissn: 2391-5455,

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Authors: Shalchi S.; Erfanian A.; Farrokhi DG M.;

doi: 10.1515/math-2017-0126

On θ-commutators and the corresponding non-commuting graphs

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Abstract

Abstract The θ-commutators of elements of a group with respect to an automorphism are introduced and their properties are investigated. Also, corresponding to θ-commutators, we define the θ-non-commuting graphs of groups and study their correlations with other notions. Furthermore, we study independent sets in θ-non-commuting graphs, which enable us to evaluate the chromatic number of such graphs.

Related Organizations

Ferdowsi University of Mashhad
Iran (Islamic Republic of)

Keywords

automorphism, 20f12, commutator, multipartite graph, chromatic number, 05c25, 05c69, 05c15, QA1-939, 20d45, independence number, Mathematics

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